CLASS OF PRECONDITIONED CONJUGATE GRADIENT METHODS FOR THE SOLUTION OF A MIXED FINITE-ELEMENT DISCRETIZATION OF THE BIHARMONIC OPERATOR

被引：12

作者：

AXELSSON, O ^{[1
]}

MUNKSGAARD, N ^{[1
]}

机构：

[1] TECH UNIV DENMARK,INST NUMER ANAL,DK-2800 LYNGBY,DENMARK

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1979年 / 14卷 / 07期

关键词：

D O I：

10.1002/nme.1620140705

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The homogeneous Dirichlet problem for the biharmonic operator is solved as the variational formulation of two coupled second‐order equations. The discretization by a mixed finite element model results in a set of linear equations whose coefficient matrix is sparse, symmetric but indefinite. We describe a class of preconditioned conjugate gradient methods for the numerical solution of this linear system. The precondition matrices correspond to incomplete factorizations of the coefficient matrix. The numerical results show a low computational complexity in both number of computer operations and demand of storage. Copyright © 1979 John Wiley & Sons, Ltd

引用

页码：1001 / 1019

页数：19

共 21 条

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